9514 1404 393
Answer:
144, rational
Step-by-step explanation:
The product is ...
(3√12)(4√12) = (3)(4)(√12)^2 = 12·12 = 144, a rational number
round 0.3782;hundredths
Answer:
hundredth:0.3800
thousand:0.4000
tenth:0.3780
pls answer fast I will give you hundred points
This hyperbola is centered at the origin. Find its equation. Foci: (-9,0) and (9,0) Vertices: (-2,0) and (2,0)
Answer:
Step-by-step explanation:
focus distance=9
a=2 f²=a²+b² ==> b²=9²-2²=77 ==> b=√77
[tex]\dfrac{(x-0)^2}{2^2}- \dfrac{(y-0)^2}{77}=1\\\\\\\boxed{\dfrac{x^2}{4}- \dfrac{y^2}{77}=1}\\[/tex]
Equation of hyperbola is [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex].
What is hyperbola?Hyperbola is defined as an open curve having two branches which are mirror images to each other.
A plane curve generated by a point so moving that the difference of the distances from two fixed points is a constant : a curve formed by the intersection of a double right circular cone with a plane that cuts both halves of the cone.
Given
Foci: (-9, 0) and (9, 0)
Foci: (±9, 0)
Vertices: (-2,0) and (2,0)
Vertices: (±2, 0)
So, a = ±2, c = ±9
Now [tex]c^{2} =a^{2} +b^{2}[/tex]
[tex]b^{2} =c^{2} -a^{2}[/tex]
[tex]b^{2} =9^{2} -2^{2}[/tex]
[tex]b^{2} =81-4[/tex]
[tex]b^{2} =77[/tex]
Equation of hyperbola is
[tex]\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} } =1[/tex]
⇒ [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex]
Hence, equation of hyperbola is [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex].
Find out more information about hyperbola here
https://brainly.com/question/27799190
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K-5+1-5k please I need help
Explanation:
The like terms k and -5k combine to -4k
The like terms -5 and 1 combine to -4
So overall, that's how we end up with -4k-4
Answer:
-4k - 4Step-by-step explanation:
1). (k - 5k) + (-5 + 1) {Collect like terms}
2). -4k - 4 {Simplify}
Two cars leave towns 760 kilometers apart at the same time and travel toward each other. One car's rate is 20 kilometers per hour less than the other's. If they meet in 4 hours, what is the rate of the slower car?
Answer:
Let speed of slower car be xkm/h
Therefore rate of other car=x+20 km/h
After 4 hrs ,
Distance covered by Car A=4x
Distance covered by Car B=4x+80
4x+4x+80=760km
8x=680
x=45
The rate of the slower car=45km/h
The number q is rational. Which statement about q- 10 is true
Answer:
you forgot to add the statements
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
4x + 2y = -18
Answer:
Submit Answer
attestato
PLSSS HELP ASAP
Need help ASAP please
Answer:
Terms for 4a^2-5a-3: 4a^2, -5a, -3
Terms for Equation 2 is correct.
Constants for 4a^2-5a-3: -3
Constants for Equation 2 is correct.
Coefficients for 4a^2-5a-3: 4, -5
Coefficients for Equation 2: 7, -3
Step-by-step explanation:
3.9015 to the nearest thousandth
Answer:
3.902.
Step-by-step explanation:
3. 9015:
The 10 thousandth digit is 5 so you round up the 1 to 2.
Which is the equation of the line that passes through (6, 2) and is perpendicular to a line with slope -1/3?
Answer:
(c) y = 3x - 16 or y - 2 = 3(x - 6)
Step-by-step explanation:
To be perpendicular, the slope must be the negative inverse of the other line,
so we know the slope must be -(-3/1) = 3
then the general point-slope form is
y = mx + b (m = slope and b = y-intercept) so
y = 3x + b (then use the point given (6,2) to find m)
2 = 3(6) + b
2 = 18 + b
2 - 18 = b
-16 = b
then
y = mx + b
y = 3x - 16
help me find the area pls
when 7 is subtracted from two third of the square of a number it becomes 17 find the number
Answer: 6 or -6
hello,
Step-by-step explanation:
Let say n the number
[tex]\dfrac{2}{3} *n^2-7=17\\\Longrightarrow\ \dfrac{2}{3} *n^2=24\\\Longrightarrow\ n^2=\dfrac{3*24}{2}\\\Longrightarrow\ n^2=36\\\Longrightarrow\ (n-6)(n+6)=0\\\\n=6\ or\ n=-6\\[/tex]
2/5 (z+ 1) = y for z
Answer:
z = 5y/2 - 1
Step-by-step explanation:
Solve for z
by simplifying both sides of the equation, then isolating the variable.
If S is directly proportional to t squared and s= 8 when t= 4 find the value of s when t= 3
Answer:9/2
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
k=8÷16=0.5
s=0.5×3=1.5
Which expression has a value of 3?
A 18 - 4 x 3 - 2
B 1 + 1 X 2
C 6 - 2 x 2
D. 7 + 4 ÷ 4
Answer:
option(B)
Step-by-step explanation:
1 + 1 × 2
using BODMAS, Multiplication comes first then Addition
=> 1 + (1 × 2)
=> 1 + 2
=> 3
x square add 7x subtract 30 factorize
find the range of possible values for x
[tex]\\ \rm\longmapsto x-5=41[/tex]
[tex]\\ \rm\longmapsto x=41+5[/tex]
[tex]\\ \rm\longmapsto x=46[/tex]
Hence
[tex]\\ \rm\longmapsto 45<x<47[/tex]
Uma indústria produz mensalmente x lotes de um produto. O valor mensal resultante da venda deste produto é V(x) = 3x² + 400x e o custo mensal da produção é dado por C(x) = 5x² − 100x − 540. Sabendo que o lucro é obtido pela diferença entre o valor resultante das vendas e o custo da produção, calcule:
A) O número de lotes de produtos para maximizar o lucro?
B) Qual o lucro Mensal a indústria pode alcançar?
Answer:
The answer would be A
Step-by-step explanation:
8,760 divided by 96 with a perfect explanation that is perfectly clear step by step
Answer:
91,25
Step-by-step explanation:
the step by step is on the picture! :)
what is -5x-x?
thank you!
Answer:
-5x-x=-6x
hope this helps you
Answer:
-6x
Step-by-step explanation:
-5x-x
add like terms
-6x
A spinner contains six sections of equal probability. Two sections are purple, two sections are red, one section is yellow and one section is blue. If you spin blue, you win $20. If you spin yellow, you win $10. If you spin red, you win $1 and if you spin purple you win nothing. How much would you need to be charged in order to make this a fair game
Answer: i wold charg 5 dollers
Step-by-step explanation:
sorry if im rong i dont know
if i under stood the question
a number set consists of {4，5，6，7}。How many 2-digit combinations of numbers from the data set can be divided by 3？
Answer:
5
Step-by-step explanation:
This trick works with 3:
If the sum of the digits of a number is divisble by 3 then the number is divisble by 3.
44 is not divisble by 3 because 4+4=8 is not divisble by 3.
45 is divisble by 3 because 4+5=9 is divisble by 3.
46 is not divisble by 3 because 4+6=10 is not divisble by 3.
47 is not divisble by 3 because 4+7=11 is not divisble by 3.
54 is divisble by 3 because 5+4=9 is divisble by 3.
55 is not divisble by 3 because 5+5=10 is not divisble by 3.
56 is not divisble by 3 because 5+6=11 is not divisble by 3.
57 is divisble by 3 because 5+7=12 is divisble by 3.
64, 65,67 are not divisble by 3 because their digits' sums are 10,11, and 13 respectively. 66 is a winner because 6+6=12 is divisble by 3.
Finally 7...
74,76,77 are not divisble by 3 because their digits' sums are 11,13, and 14 respectively. 75 is divisble by 3 because 7+5=12 is divisble by 3.
The victors are
45
54
57
66
75
Quick please I really need this
Answer:
y = 39
Step-by-step explanation:
550 x [tex]\pi[/tex] = [tex]\pi[/tex] [tex]r^{2}[/tex] x 11 + y
550 x [tex]\frac{7}{22}[/tex] = [tex]\frac{7}{22}[/tex] x 11 x 11 + y
550 x [tex]\frac{7}{22}[/tex] x [tex]\frac{22}{7}[/tex] = 11 x 11 + y
550 = 11 x 11 + y
[tex]\frac{550}{11}[/tex] = [tex]\frac{11}{11}[/tex] x 11 + y
50 = 11 + y
50 - 11 = y
39 = y
A 7-meter roll of yellow fabric costs $24.64. What is the unit price?
Answer:
3.52 is the unit price
Step-by-step explanation:
The only thing that you need to do do for know the answer is to divide 24.64 by 7
Round 55,553.65478 to:
a. hundreds
and
b. thousandths
Answer:
a. hundreds
55,600
b. thousandths
55,553.65500
2. The ratio of chocolate to vanilla ice cream is 3 scoops to 7 scoops. If there
are 147 scoops of vanilla ice cream, how many total scoops are there?
A new car sales person, sold an average of $46,975 per day for the first two days she worked. The next one days she worked, she sold an average of $45,765. How much did she sell on average per day over the entire time she worked?
Answer:
$46,571.67
Step-by-step explanation:
if your description is right and complete, she sold cars on the first 2 days as average for $46975.
and on the third day for $45765
to calculate the total average we need to know the total amount of sales and then divide it by the observation period length (3 days).
how do we get the total sales ?
we know the average of the first 2 days. we don't need to find the exact value for every day, but we know the exact value for these first 2 days : 2×46975 = $93950
as the average of these 2 days = (day1 + day2)/2
46975 = (day1 + day2)/2
day1 + day2 = 2×46975 = 93950
it is not important what two (day) numbers created 93950. we know that this was the total sum of the first two days. and that is enough.
so, we have in total
$93950 on the first 2 days
$45765 in the third day
-------------
$139715 for all 3 days
the average per day is then
139715 / 3 = $46,571.67
Find MN
Segment addition postulate
Answer:
MN= 6Step-by-step explanation:
Let MP= 32 and NP = 2632 - 26 = 6[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
NẾU BẠN BÌNH CÓ 34 QUẢ TÁO, BẠN AN LẤY ĐI TỔNG CỘNG 23 QUẢ. HỎI AN CÓ BAO NHIÊU QUẢ TÁO
Answer:
Bạn An có 23 quả táo
Step-by-step explanation:
Vì AN lấy đi 23 quả táo nên số táo vẫn bằng như thế
What value represents the vertical translation from the graph of the parent function f(x)=x² to the graph of the
function g(x)=(x+5)2+3?
-5
-3
3
Answer:
3
Step-by-step explanation:
A algebraic transformation is represented by
[tex]a(bx - h) + k[/tex]
where a is the vertical compression or stretch. a is also the vertical reflection if value is negative . B is the horizontal compression or stretch it is also a horizontal reflection if it value is negative. h is the horizontal shift. And k is the vertical shift.
3 replaces k in this scenario for the vertical translation so 3 is the answer.
